航空学报 > 2014, Vol. 35 Issue (12): 3425-3437   doi: 10.7527/S1000-6893.2013.0542

卡氏天线副面补偿技术中副面焦点坐标调整量的高精度数据拟合

胡开宇1,2, 艾力·玉苏甫1, 徐雪林3, 项斌斌1, 刘奇1   

  1. 1. 中国科学院 新疆天文台, 新疆 乌鲁木齐 830011;
    2. 中国科学院大学 物理科学学院, 北京 100190;
    3. 北京航空航天大学 自动化科学与电气工程学院, 北京 100191
  • 收稿日期:2013-12-19 修回日期:2014-02-17 出版日期:2014-12-25 发布日期:2014-02-26
  • 通讯作者: 艾力·玉苏甫 男, 博士, 研究员.主要研究方向: 航天深空测控技术, 天线终端控制软件编写. Tel: 0991-3689066 E-mail: aliyu@xao.ac.cn E-mail:aliyu@xao.ac.cn
  • 作者简介:胡开宇 男, 博士研究生.主要研究方向: 卡氏天线副反射面补偿技术, 六杆并联机构的控制系统仿真. Tel: 0991-3689083 E-mail: hukaiyu@xao.ac.cn;徐雪林 女, 硕士研究生.主要研究方向: 嵌入式系统开发. Tel: 010-82338435 E-mail: 734702014@qq.com
  • 基金资助:

    中国探月工程三期资助项目;国家"973"计划(2013CB837900);国家自然科学基金(11103056,10778703,11153002);中科院"西部之光"项目(XBBS201122)

Accurate Data Fitting for Adjustments of Focus Position Coordinates Applied to Cassegrain Antenna's Sub-reflector Compensation

HU Kaiyu1,2, AILI Yusup1, XU Xuelin3, XIANG Binbin1, LIU Qi1   

  1. 1. National Astronomical Observatories/Xinjiang Observatory, Chinese Academy of Sciences, Urumqi 830011, China;
    2. School of Physical Science, University of Chinese Academy of Sciences, Beijing 100190, China;
    3. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China
  • Received:2013-12-19 Revised:2014-02-17 Online:2014-12-25 Published:2014-02-26
  • Supported by:

    China Lunar Exploration Project Ⅲ; National Basic Research Program of China (2013CB837900); National Natural Science Foundation of China (11103056,10778703,11153002); "Westen Light" Project of Chinese Academy of Sciences (XBBS201122)

摘要:

基于新疆110 m射电望远镜预研项目、南山天线改造计划和国家对航天领域的战略需求,对大型卡氏天线主面板变形的副面实时补偿作了深入研究.简单介绍了副面补偿的理论模型并用静力分析法得出若干特殊仰角下的调整量,进而运用MATLAB对调整量进行了高精度的数据拟合.给出了线性最小二乘法和正交多项式最小二乘法2种拟合方法拟合模型方程,通过误差分析从不同方面对比了拟合方法的效果,在阶数为4、精确至小数点后15位时,2种拟合方法的误差差值数量级为10-13 mm,且小于零.最终选择并应用精度更高的正交多项式最小二乘拟合方法在特定的俯仰角度范围内生成了部分调整量数据,为副反射面在任意俯仰角下的补偿过程创造了条件,满足了天文观测和航天深空探测对数据准确性和系统可靠性的要求,具有一定的实用性.

关键词: 天线, 副面, 数据拟合, 误差补偿, 误差分析

Abstract:

Based on the rapidly progress of the Xinjiang 110 m radio telescope project, Nanshan antenna reform programme and national strategic demand for aerospace development, this paper makes a thorough study for the real-time compensation of the sub-reflector for the deformation of the large antenna's main panel. First, it presents a brief introduction to the theoretical model of sub-reflector compensation and an analysis of adjustments under certain special elevations. Then it realizes high-precision data fit using MATLAB because of its powerful numerical calculation. This paper gives two different data fit methods and model equations and compares the effects of the two fit methods from different aspects by detailed error analysis. When the fit order is 4 and computing to 15 decimal places, it calculates the error of the difference between these two data fit methods: the value is negative and the magnitude is 10-13 mm. Finally, the paper chooses the higher precision fitting method whose absolute error is minuend and uses this method to generate a partial adjustment database in the range of some special angels in order to create conditions for the entire sub-reflector compensation process which satisfies the requirements for astronomical observations and deep-space exploration for data accuracy and system reliability. The specific technology is believed to possess certain general value for applicability.

Key words: antenna, sub-reflector, data fit, error compensation, error analysis

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